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Finding the Fourth Proportional to 20,409.22, 30,606.53 and 7,258.97

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Solution

The fourth proportional to 20,409.22, 30,606.53 and 7,258.97 is: 10,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.22 : 30,606.53 = 7,258.97 : x
  2. Step 2: Convert to fraction form
    20,409.22/30,606.53 = 7,258.97/x
  3. Step 3: Cross multiply
    20,409.22x = 30,606.53 × 7,258.97
  4. Step 4: Simplify right side
    20,409.22x = 222,171,812.38
  5. Step 5: Solve for x
    x = 222,171,812.38/20,409.22
  6. Step 6: Final answer
    x = 10,885.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.